Suppose That $\vec { u }$ And $\vec { v }$ Are Non-Zero Vectors, and That

Multiple Choice

Suppose that $\vec { u }$ and $\vec { v }$ are non-zero vectors, and that $\vec { u }$ is perpendicular to $\vec { v }$ .Let $\vec { w } = \vec { u } \times ( \vec { v } \times \vec { u } )$ .Which of the following statements are true? Select all that apply.

A) $\vec { W }$ is perpendicular to $\vec { u }$ ,
B) $\vec { W }$ is perpendicular to $\vec { v }$ ,
C) $\vec { W }$ is parallel to $\vec { u }$ ,
D) $\vec { W }$ is parallel to $\vec { v }$ ,
E) $\vec { W }$ is the zero vector.